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Finding the Fourth Proportional to 512.96, 769.56 and 224.42

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Solution

The fourth proportional to 512.96, 769.56 and 224.42 is: 336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 769.56 = 224.42 : x
  2. Step 2: Convert to fraction form
    512.96/769.56 = 224.42/x
  3. Step 3: Cross multiply
    512.96x = 769.56 × 224.42
  4. Step 4: Simplify right side
    512.96x = 172,704.66
  5. Step 5: Solve for x
    x = 172,704.66/512.96
  6. Step 6: Final answer
    x = 336.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.